Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the distance in 4.5 h. Car B traveled 5 mph slower than Car A.

How fast did Car B travel?

X-5=speed of car B

x = speed of car A

Distance = speed times time

distances is equal so

(x-5) (4.5) = (x) (4)

4.5x-22.5=4x

multiply both sides by 2 to get rid of the decimals

9x-45=8x

subtract 8x from both sides

x-45=0 a

add 45 to both sides and get

x=45

speed of car A = 45 mph

Speed of car B = 45-5 or 40 mph

Speed of car B = 40 mph